In
algebraic geometry, an elliptic singularity of a surface, introduced by , is a surface singularity such that the
arithmetic genus In mathematics, the arithmetic genus of an algebraic variety is one of a few possible generalizations of the genus of an algebraic curve or Riemann surface.
Projective varieties
Let ''X'' be a projective scheme of dimension ''r'' over a field '' ...
of its
local ring In abstract algebra, more specifically ring theory, local rings are certain rings that are comparatively simple, and serve to describe what is called "local behaviour", in the sense of functions defined on varieties or manifolds, or of algebraic ...
is 1.
See also
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Rational singularity In mathematics, more particularly in the field of algebraic geometry, a scheme X has rational singularities, if it is normal, of finite type over a field of characteristic zero, and there exists a proper birational map
:f \colon Y \rightarrow ...
References
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Algebraic surfaces
Singularity theory
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